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The partially observable Markov decision process (POMDP) provides a principled general model for planning under uncertainty. However, solving a general POMDP is computationally intractable in the worst case. This paper introduces…

Artificial Intelligence · Computer Science 2016-02-24 Min Chen , Emilio Frazzoli , David Hsu , Wee Sun Lee

A significant problem in designing mobile robot control systems involves coping with the uncertainty that arises in moving about in an unknown or partially unknown environment and relying on noisy or ambiguous sensor data to acquire…

Artificial Intelligence · Computer Science 2013-04-05 K. Bayse , M. Lejter , Keiji Kanazawa

A crucial challenge to efficient and robust motion planning for autonomous vehicles is understanding the intentions of the surrounding agents. Ignoring the intentions of the other agents in dynamic environments can lead to risky or…

Robotics · Computer Science 2019-04-05 Xin Huang , Sungkweon Hong , Andreas Hofmann , Brian C. Williams

Safe UAV navigation is challenging due to the complex environment structures, dynamic obstacles, and uncertainties from measurement noises and unpredictable moving obstacle behaviors. Although plenty of recent works achieve safe navigation…

Robotics · Computer Science 2022-03-15 Zhefan Xu , Di Deng , Yiping Dong , Kenji Shimada

We study the problem of policy synthesis for uncertain partially observable Markov decision processes (uPOMDPs). The transition probability function of uPOMDPs is only known to belong to a so-called uncertainty set, for instance in the form…

Optimization and Control · Mathematics 2020-01-24 Marnix Suilen , Nils Jansen , Murat Cubuktepe , Ufuk Topcu

We describe a probabilistic framework for synthesizing control policies for general multi-robot systems, given environment and sensor models and a cost function. Decentralized, partially observable Markov decision processes (Dec-POMDPs) are…

We consider sensor scheduling as the optimal observability problem for partially observable Markov decision processes (POMDP). This model fits to the cases where a Markov process is observed by a single sensor which needs to be dynamically…

Information Theory · Computer Science 2016-11-15 Mohammad Rezaeian

Navigation in an unknown environment consists of multiple separable subtasks, such as collecting information about the surroundings and navigating to the current goal. In the case of pure visual navigation, all these subtasks need to…

Robotics · Computer Science 2016-02-17 Tuomas Välimäki , Risto Ritala

Managing announced task completion times is a fundamental control problem in project management. While extensive research exists on estimating task durations and task scheduling, the problem of when and how to update completion times…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Duncan Eddy , Esen Yel , Emma Passmore , Niles Egan , Grayson Armour , Dylan M. Asmar , Mykel J. Kochenderfer

Partially observable Markov decision processes (POMDPs) form a prominent model for uncertainty in sequential decision making. We are interested in constructing algorithms with theoretical guarantees to determine whether the agent has a…

Artificial Intelligence · Computer Science 2024-12-17 Marius Belly , Nathanaël Fijalkow , Hugo Gimbert , Florian Horn , Guillermo A. Pérez , Pierre Vandenhove

Synthesising verifiably correct controllers for dynamical systems is crucial for safety-critical problems. To achieve this, it is important to account for uncertainty in a robust manner, while at the same time it is often of interest to…

Systems and Control · Electrical Eng. & Systems 2024-05-16 Luke Rickard , Alessandro Abate , Kostas Margellos

Partially Observable Monte-Carlo Planning (POMCP) is a powerful online algorithm able to generate approximate policies for large Partially Observable Markov Decision Processes. The online nature of this method supports scalability by…

Artificial Intelligence · Computer Science 2021-04-29 Giulio Mazzi , Alberto Castellini , Alessandro Farinelli

Hidden Markov models (HMMs) and partially observable Markov decision processes (POMDPs) provide useful tools for modeling dynamical systems. They are particularly useful for representing the topology of environments such as road networks…

Artificial Intelligence · Computer Science 2011-06-06 L. P. Kaelbling , H. Shatkay

This paper studies the synthesis of a joint control and active perception policy for a stochastic system modeled as a partially observable Markov decision process (POMDP), subject to temporal logic specifications. The POMDP actions…

Systems and Control · Electrical Eng. & Systems 2025-04-21 Chongyang Shi , Michael R. Dorothy , Jie Fu

We consider the problem of finding the best memoryless stochastic policy for an infinite-horizon partially observable Markov decision process (POMDP) with finite state and action spaces with respect to either the discounted or mean reward…

Optimization and Control · Mathematics 2022-05-02 Johannes Müller , Guido Montúfar

Designing spacecraft trajectories remains challenging in the presence of stochastic effects such as maneuver execution errors and observation uncertainties. Although covariance control and belief-space planning provide useful tools for…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Masahiro Fujiwara , Naoya Ozaki

We present a data-driven approach for producing policies that are provably robust across unknown stochastic environments. Existing approaches can learn models of a single environment as an interval Markov decision processes (IMDP) and…

Machine Learning · Computer Science 2025-03-25 Yannik Schnitzer , Alessandro Abate , David Parker

Partially Observable Markov Decision Processes (POMDP) is a widely used model to represent the interaction of an environment and an agent, under state uncertainty. Since the agent does not observe the environment state, its uncertainty is…

Artificial Intelligence · Computer Science 2021-04-16 Divya Grover , Christos Dimitrakakis

We describe an abstract control-theoretic framework in which the validity of the dynamic programming principle can be established in continuous time by a verification of a small number of structural properties. As an application we treat…

Optimization and Control · Mathematics 2014-03-18 Gordan Zitkovic

Integrated task and motion planning has emerged as a challenging problem in sequential decision making, where a robot needs to compute high-level strategy and low-level motion plans for solving complex tasks. While high-level strategies…

Artificial Intelligence · Computer Science 2018-02-19 Siddharth Srivastava , Nishant Desai , Richard Freedman , Shlomo Zilberstein